Posts tagged 'fifth-apotome'

G.473 fifth apotome

If the annex be so:term:commensurable <G.372>, a:term:**fifth** <fifth-apotome>;

G.474 find the fifth apotome

Find the fifth apotome.

G.481 area contained rational

If an area be contained by a rational segment and a fifth apotome, the “side” of the area is a segment which produces with a rational area a medial whole.

G.487 square segment produces

The square on the segment which produces with a rational area a medial whole, if applied to a rational segment, produces as breadth a fifth apotome.

G.495 medial area rational

If from a medial area a rational area be subtracted, there arise two other irrational segments, either a first apotome of a medial segment or a segment which produces with a rational area a medial whole.